java/awt/Polygon.java

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 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
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 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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package java.awt;

import java.awt.geom.AffineTransform;
import java.awt.geom.PathIterator;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
import sun.awt.geom.Crossings;
import java.util.Arrays;

/**
 * The <code>Polygon</code> class encapsulates a description of a
 * closed, two-dimensional region within a coordinate space. This
 * region is bounded by an arbitrary number of line segments, each of
 * which is one side of the polygon. Internally, a polygon
 * comprises of a list of {@code (x,y)}
 * coordinate pairs, where each pair defines a <i>vertex</i> of the
 * polygon, and two successive pairs are the endpoints of a
 * line that is a side of the polygon. The first and final
 * pairs of {@code (x,y)} points are joined by a line segment
 * that closes the polygon.  This <code>Polygon</code> is defined with
 * an even-odd winding rule.  See
 * {@link java.awt.geom.PathIterator#WIND_EVEN_ODD WIND_EVEN_ODD}
 * for a definition of the even-odd winding rule.
 * This class's hit-testing methods, which include the
 * <code>contains</code>, <code>intersects</code> and <code>inside</code>
 * methods, use the <i>insideness</i> definition described in the
 * {@link Shape} class comments.
 *
 * @author      Sami Shaio
 * @see Shape
 * @author      Herb Jellinek
 * @since       1.0
 */
public class Polygon implements Shape, java.io.Serializable {

    /**
     * The total number of points.  The value of <code>npoints</code>
     * represents the number of valid points in this <code>Polygon</code>
     * and might be less than the number of elements in
     * {@link #xpoints xpoints} or {@link #ypoints ypoints}.
     * This value can be NULL.
     *
     * @serial
     * @see #addPoint(int, int)
     * @since 1.0
     */
    public int npoints;

    /**
     * The array of X coordinates.  The number of elements in
     * this array might be more than the number of X coordinates
     * in this <code>Polygon</code>.  The extra elements allow new points
     * to be added to this <code>Polygon</code> without re-creating this
     * array.  The value of {@link #npoints npoints} is equal to the
     * number of valid points in this <code>Polygon</code>.
     *
     * @serial
     * @see #addPoint(int, int)
     * @since 1.0
     */
    public int xpoints[];

    /**
     * The array of Y coordinates.  The number of elements in
     * this array might be more than the number of Y coordinates
     * in this <code>Polygon</code>.  The extra elements allow new points
     * to be added to this <code>Polygon</code> without re-creating this
     * array.  The value of <code>npoints</code> is equal to the
     * number of valid points in this <code>Polygon</code>.
     *
     * @serial
     * @see #addPoint(int, int)
     * @since 1.0
     */
    public int ypoints[];

    /**
     * The bounds of this {@code Polygon}.
     * This value can be null.
     *
     * @serial
     * @see #getBoundingBox()
     * @see #getBounds()
     * @since 1.0
     */
    protected Rectangle bounds;

    /*
     * JDK 1.1 serialVersionUID
     */
    private static final long serialVersionUID = -6460061437900069969L;

    /*
     * Default length for xpoints and ypoints.
     */
    private static final int MIN_LENGTH = 4;

    /**
     * Creates an empty polygon.
     * @since 1.0
     */
    public Polygon() {
        xpoints = new int[MIN_LENGTH];
        ypoints = new int[MIN_LENGTH];
    }

    /**
     * Constructs and initializes a <code>Polygon</code> from the specified
     * parameters.
     * @param xpoints an array of X coordinates
     * @param ypoints an array of Y coordinates
     * @param npoints the total number of points in the
     *                          <code>Polygon</code>
     * @exception  NegativeArraySizeException if the value of
     *                       <code>npoints</code> is negative.
     * @exception  IndexOutOfBoundsException if <code>npoints</code> is
     *             greater than the length of <code>xpoints</code>
     *             or the length of <code>ypoints</code>.
     * @exception  NullPointerException if <code>xpoints</code> or
     *             <code>ypoints</code> is <code>null</code>.
     * @since 1.0
     */
    public Polygon(int xpoints[], int ypoints[], int npoints) {
        // Fix 4489009: should throw IndexOutofBoundsException instead
        // of OutofMemoryException if npoints is huge and > {x,y}points.length
        if (npoints > xpoints.length || npoints > ypoints.length) {
            throw new IndexOutOfBoundsException("npoints > xpoints.length || "+
                                                "npoints > ypoints.length");
        }
        // Fix 6191114: should throw NegativeArraySizeException with
        // negative npoints
        if (npoints < 0) {
            throw new NegativeArraySizeException("npoints < 0");
        }
        // Fix 6343431: Applet compatibility problems if arrays are not
        // exactly npoints in length
        this.npoints = npoints;
        this.xpoints = Arrays.copyOf(xpoints, npoints);
        this.ypoints = Arrays.copyOf(ypoints, npoints);
    }

    /**
     * Resets this <code>Polygon</code> object to an empty polygon.
     * The coordinate arrays and the data in them are left untouched
     * but the number of points is reset to zero to mark the old
     * vertex data as invalid and to start accumulating new vertex
     * data at the beginning.
     * All internally-cached data relating to the old vertices
     * are discarded.
     * Note that since the coordinate arrays from before the reset
     * are reused, creating a new empty <code>Polygon</code> might
     * be more memory efficient than resetting the current one if
     * the number of vertices in the new polygon data is significantly
     * smaller than the number of vertices in the data from before the
     * reset.
     * @see         java.awt.Polygon#invalidate
     * @since 1.4
     */
    public void reset() {
        npoints = 0;
        bounds = null;
    }

    /**
     * Invalidates or flushes any internally-cached data that depends
     * on the vertex coordinates of this <code>Polygon</code>.
     * This method should be called after any direct manipulation
     * of the coordinates in the <code>xpoints</code> or
     * <code>ypoints</code> arrays to avoid inconsistent results
     * from methods such as <code>getBounds</code> or <code>contains</code>
     * that might cache data from earlier computations relating to
     * the vertex coordinates.
     * @see         java.awt.Polygon#getBounds
     * @since 1.4
     */
    public void invalidate() {
        bounds = null;
    }

    /**
     * Translates the vertices of the <code>Polygon</code> by
     * <code>deltaX</code> along the x axis and by
     * <code>deltaY</code> along the y axis.
     * @param deltaX the amount to translate along the X axis
     * @param deltaY the amount to translate along the Y axis
     * @since 1.1
     */
    public void translate(int deltaX, int deltaY) {
        for (int i = 0; i < npoints; i++) {
            xpoints[i] += deltaX;
            ypoints[i] += deltaY;
        }
        if (bounds != null) {
            bounds.translate(deltaX, deltaY);
        }
    }

    /*
     * Calculates the bounding box of the points passed to the constructor.
     * Sets <code>bounds</code> to the result.
     * @param xpoints[] array of <i>x</i> coordinates
     * @param ypoints[] array of <i>y</i> coordinates
     * @param npoints the total number of points
     */
    void calculateBounds(int xpoints[], int ypoints[], int npoints) {
        int boundsMinX = Integer.MAX_VALUE;
        int boundsMinY = Integer.MAX_VALUE;
        int boundsMaxX = Integer.MIN_VALUE;
        int boundsMaxY = Integer.MIN_VALUE;

        for (int i = 0; i < npoints; i++) {
            int x = xpoints[i];
            boundsMinX = Math.min(boundsMinX, x);
            boundsMaxX = Math.max(boundsMaxX, x);
            int y = ypoints[i];
            boundsMinY = Math.min(boundsMinY, y);
            boundsMaxY = Math.max(boundsMaxY, y);
        }
        bounds = new Rectangle(boundsMinX, boundsMinY,
                               boundsMaxX - boundsMinX,
                               boundsMaxY - boundsMinY);
    }

    /*
     * Resizes the bounding box to accommodate the specified coordinates.
     * @param x,&nbsp;y the specified coordinates
     */
    void updateBounds(int x, int y) {
        if (x < bounds.x) {
            bounds.width = bounds.width + (bounds.x - x);
            bounds.x = x;
        }
        else {
            bounds.width = Math.max(bounds.width, x - bounds.x);
            // bounds.x = bounds.x;
        }

        if (y < bounds.y) {
            bounds.height = bounds.height + (bounds.y - y);
            bounds.y = y;
        }
        else {
            bounds.height = Math.max(bounds.height, y - bounds.y);
            // bounds.y = bounds.y;
        }
    }

    /**
     * Appends the specified coordinates to this <code>Polygon</code>.
     * <p>
     * If an operation that calculates the bounding box of this
     * <code>Polygon</code> has already been performed, such as
     * <code>getBounds</code> or <code>contains</code>, then this
     * method updates the bounding box.
     * @param       x the specified X coordinate
     * @param       y the specified Y coordinate
     * @see         java.awt.Polygon#getBounds
     * @see         java.awt.Polygon#contains
     * @since 1.0
     */
    public void addPoint(int x, int y) {
        if (npoints >= xpoints.length || npoints >= ypoints.length) {
            int newLength = npoints * 2;
            // Make sure that newLength will be greater than MIN_LENGTH and
            // aligned to the power of 2
            if (newLength < MIN_LENGTH) {
                newLength = MIN_LENGTH;
            } else if ((newLength & (newLength - 1)) != 0) {
                newLength = Integer.highestOneBit(newLength);
            }

            xpoints = Arrays.copyOf(xpoints, newLength);
            ypoints = Arrays.copyOf(ypoints, newLength);
        }
        xpoints[npoints] = x;
        ypoints[npoints] = y;
        npoints++;
        if (bounds != null) {
            updateBounds(x, y);
        }
    }

    /**
     * Gets the bounding box of this <code>Polygon</code>.
     * The bounding box is the smallest {@link Rectangle} whose
     * sides are parallel to the x and y axes of the
     * coordinate space, and can completely contain the <code>Polygon</code>.
     * @return a <code>Rectangle</code> that defines the bounds of this
     * <code>Polygon</code>.
     * @since 1.1
     */
    public Rectangle getBounds() {
        return getBoundingBox();
    }

    /**
     * Returns the bounds of this <code>Polygon</code>.
     * @return the bounds of this <code>Polygon</code>.
     * @deprecated As of JDK version 1.1,
     * replaced by <code>getBounds()</code>.
     * @since 1.0
     */
    @Deprecated
    public Rectangle getBoundingBox() {
        if (npoints == 0) {
            return new Rectangle();
        }
        if (bounds == null) {
            calculateBounds(xpoints, ypoints, npoints);
        }
        return bounds.getBounds();
    }

    /**
     * Determines whether the specified {@link Point} is inside this
     * <code>Polygon</code>.
     * @param p the specified <code>Point</code> to be tested
     * @return <code>true</code> if the <code>Polygon</code> contains the
     *                  <code>Point</code>; <code>false</code> otherwise.
     * @see #contains(double, double)
     * @since 1.0
     */
    public boolean contains(Point p) {
        return contains(p.x, p.y);
    }

    /**
     * Determines whether the specified coordinates are inside this
     * <code>Polygon</code>.
     * <p>
     * @param x the specified X coordinate to be tested
     * @param y the specified Y coordinate to be tested
     * @return {@code true} if this {@code Polygon} contains
     *         the specified coordinates {@code (x,y)};
     *         {@code false} otherwise.
     * @see #contains(double, double)
     * @since 1.1
     */
    public boolean contains(int x, int y) {
        return contains((double) x, (double) y);
    }

    /**
     * Determines whether the specified coordinates are contained in this
     * <code>Polygon</code>.
     * @param x the specified X coordinate to be tested
     * @param y the specified Y coordinate to be tested
     * @return {@code true} if this {@code Polygon} contains
     *         the specified coordinates {@code (x,y)};
     *         {@code false} otherwise.
     * @see #contains(double, double)
     * @deprecated As of JDK version 1.1,
     * replaced by <code>contains(int, int)</code>.
     * @since 1.0
     */
    @Deprecated
    public boolean inside(int x, int y) {
        return contains((double) x, (double) y);
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public Rectangle2D getBounds2D() {
        return getBounds();
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(double x, double y) {
        if (npoints <= 2 || !getBoundingBox().contains(x, y)) {
            return false;
        }
        int hits = 0;

        int lastx = xpoints[npoints - 1];
        int lasty = ypoints[npoints - 1];
        int curx, cury;

        // Walk the edges of the polygon
        for (int i = 0; i < npoints; lastx = curx, lasty = cury, i++) {
            curx = xpoints[i];
            cury = ypoints[i];

            if (cury == lasty) {
                continue;
            }

            int leftx;
            if (curx < lastx) {
                if (x >= lastx) {
                    continue;
                }
                leftx = curx;
            } else {
                if (x >= curx) {
                    continue;
                }
                leftx = lastx;
            }

            double test1, test2;
            if (cury < lasty) {
                if (y < cury || y >= lasty) {
                    continue;
                }
                if (x < leftx) {
                    hits++;
                    continue;
                }
                test1 = x - curx;
                test2 = y - cury;
            } else {
                if (y < lasty || y >= cury) {
                    continue;
                }
                if (x < leftx) {
                    hits++;
                    continue;
                }
                test1 = x - lastx;
                test2 = y - lasty;
            }

            if (test1 < (test2 / (lasty - cury) * (lastx - curx))) {
                hits++;
            }
        }

        return ((hits & 1) != 0);
    }

    private Crossings getCrossings(double xlo, double ylo,
                                   double xhi, double yhi)
    {
        Crossings cross = new Crossings.EvenOdd(xlo, ylo, xhi, yhi);
        int lastx = xpoints[npoints - 1];
        int lasty = ypoints[npoints - 1];
        int curx, cury;

        // Walk the edges of the polygon
        for (int i = 0; i < npoints; i++) {
            curx = xpoints[i];
            cury = ypoints[i];
            if (cross.accumulateLine(lastx, lasty, curx, cury)) {
                return null;
            }
            lastx = curx;
            lasty = cury;
        }

        return cross;
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(Point2D p) {
        return contains(p.getX(), p.getY());
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean intersects(double x, double y, double w, double h) {
        if (npoints <= 0 || !getBoundingBox().intersects(x, y, w, h)) {
            return false;
        }

        Crossings cross = getCrossings(x, y, x+w, y+h);
        return (cross == null || !cross.isEmpty());
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean intersects(Rectangle2D r) {
        return intersects(r.getX(), r.getY(), r.getWidth(), r.getHeight());
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(double x, double y, double w, double h) {
        if (npoints <= 0 || !getBoundingBox().intersects(x, y, w, h)) {
            return false;
        }

        Crossings cross = getCrossings(x, y, x+w, y+h);
        return (cross != null && cross.covers(y, y+h));
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(Rectangle2D r) {
        return contains(r.getX(), r.getY(), r.getWidth(), r.getHeight());
    }

    /**
     * Returns an iterator object that iterates along the boundary of this
     * <code>Polygon</code> and provides access to the geometry
     * of the outline of this <code>Polygon</code>.  An optional
     * {@link AffineTransform} can be specified so that the coordinates
     * returned in the iteration are transformed accordingly.
     * @param at an optional <code>AffineTransform</code> to be applied to the
     *          coordinates as they are returned in the iteration, or
     *          <code>null</code> if untransformed coordinates are desired
     * @return a {@link PathIterator} object that provides access to the
     *          geometry of this <code>Polygon</code>.
     * @since 1.2
     */
    public PathIterator getPathIterator(AffineTransform at) {
        return new PolygonPathIterator(this, at);
    }

    /**
     * Returns an iterator object that iterates along the boundary of
     * the <code>Shape</code> and provides access to the geometry of the
     * outline of the <code>Shape</code>.  Only SEG_MOVETO, SEG_LINETO, and
     * SEG_CLOSE point types are returned by the iterator.
     * Since polygons are already flat, the <code>flatness</code> parameter
     * is ignored.  An optional <code>AffineTransform</code> can be specified
     * in which case the coordinates returned in the iteration are transformed
     * accordingly.
     * @param at an optional <code>AffineTransform</code> to be applied to the
     *          coordinates as they are returned in the iteration, or
     *          <code>null</code> if untransformed coordinates are desired
     * @param flatness the maximum amount that the control points
     *          for a given curve can vary from colinear before a subdivided
     *          curve is replaced by a straight line connecting the
     *          endpoints.  Since polygons are already flat the
     *          <code>flatness</code> parameter is ignored.
     * @return a <code>PathIterator</code> object that provides access to the
     *          <code>Shape</code> object's geometry.
     * @since 1.2
     */
    public PathIterator getPathIterator(AffineTransform at, double flatness) {
        return getPathIterator(at);
    }

    class PolygonPathIterator implements PathIterator {
        Polygon poly;
        AffineTransform transform;
        int index;

        public PolygonPathIterator(Polygon pg, AffineTransform at) {
            poly = pg;
            transform = at;
            if (pg.npoints == 0) {
                // Prevent a spurious SEG_CLOSE segment
                index = 1;
            }
        }

        /**
         * Returns the winding rule for determining the interior of the
         * path.
         * @return an integer representing the current winding rule.
         * @see PathIterator#WIND_NON_ZERO
         */
        public int getWindingRule() {
            return WIND_EVEN_ODD;
        }

        /**
         * Tests if there are more points to read.
         * @return <code>true</code> if there are more points to read;
         *          <code>false</code> otherwise.
         */
        public boolean isDone() {
            return index > poly.npoints;
        }

        /**
         * Moves the iterator forwards, along the primary direction of
         * traversal, to the next segment of the path when there are
         * more points in that direction.
         */
        public void next() {
            index++;
        }

        /**
         * Returns the coordinates and type of the current path segment in
         * the iteration.
         * The return value is the path segment type:
         * SEG_MOVETO, SEG_LINETO, or SEG_CLOSE.
         * A <code>float</code> array of length 2 must be passed in and
         * can be used to store the coordinates of the point(s).
         * Each point is stored as a pair of <code>float</code> x,&nbsp;y
         * coordinates.  SEG_MOVETO and SEG_LINETO types return one
         * point, and SEG_CLOSE does not return any points.
         * @param coords a <code>float</code> array that specifies the
         * coordinates of the point(s)
         * @return an integer representing the type and coordinates of the
         *              current path segment.
         * @see PathIterator#SEG_MOVETO
         * @see PathIterator#SEG_LINETO
         * @see PathIterator#SEG_CLOSE
         */
        public int currentSegment(float[] coords) {
            if (index >= poly.npoints) {
                return SEG_CLOSE;
            }
            coords[0] = poly.xpoints[index];
            coords[1] = poly.ypoints[index];
            if (transform != null) {
                transform.transform(coords, 0, coords, 0, 1);
            }
            return (index == 0 ? SEG_MOVETO : SEG_LINETO);
        }

        /**
         * Returns the coordinates and type of the current path segment in
         * the iteration.
         * The return value is the path segment type:
         * SEG_MOVETO, SEG_LINETO, or SEG_CLOSE.
         * A <code>double</code> array of length 2 must be passed in and
         * can be used to store the coordinates of the point(s).
         * Each point is stored as a pair of <code>double</code> x,&nbsp;y
         * coordinates.
         * SEG_MOVETO and SEG_LINETO types return one point,
         * and SEG_CLOSE does not return any points.
         * @param coords a <code>double</code> array that specifies the
         * coordinates of the point(s)
         * @return an integer representing the type and coordinates of the
         *              current path segment.
         * @see PathIterator#SEG_MOVETO
         * @see PathIterator#SEG_LINETO
         * @see PathIterator#SEG_CLOSE
         */
        public int currentSegment(double[] coords) {
            if (index >= poly.npoints) {
                return SEG_CLOSE;
            }
            coords[0] = poly.xpoints[index];
            coords[1] = poly.ypoints[index];
            if (transform != null) {
                transform.transform(coords, 0, coords, 0, 1);
            }
            return (index == 0 ? SEG_MOVETO : SEG_LINETO);
        }
    }
}